Reference : Fluctuation theorems and inequalities generalizing the second law of thermodynamics o...
Scientific journals : Article
Physical, chemical, mathematical & earth Sciences : Physics
http://hdl.handle.net/10993/9066
Fluctuation theorems and inequalities generalizing the second law of thermodynamics out of equilibrium
English
Verley, Gatien mailto [UMR CNRS Gulliver 7083, ESPCI > Laboratoire de Physico-Chimie Théorique]
Lacoste, D. [UMR CNRS Gulliver 7083, ESPCI > Laboratoire de Physico-Chimie Théorique]
2012
Physical Review. E : Statistical, Nonlinear, and Soft Matter Physics
American Physical Society
86
051127
Yes (verified by ORBilu)
International
1539-3755
1550-2376
College Park
MD
[en] We present a general framework for systems which are prepared in a nonstationary nonequilibrium state in the absence of any perturbation and which are then further driven through the application of a time-dependent perturbation. By assumption, the evolution of the system must be described by Markovian dynamics. We distinguish two different situations depending on the way the nonequilibrium state is prepared; either it is created by some driving or it results from a relaxation following some initial nonstationary conditions. Our approach is based on a recent generalization of the Hatano-Sasa relation for nonstationary probability distributions. We also investigate whether a form of the second law holds for separate parts of the entropy production and for any nonstationary reference process, a question motivated by the work of M. Esposito et al. [ Phys. Rev. Lett. 104 090601 (2010)]. We find that although the special structure of the theorems derived in this reference is not recovered in the general case, detailed fluctuation theorems still hold separately for parts of the entropy production. These detailed fluctuation theorems contain interesting generalizations of the second law of thermodynamics for nonequilibrium systems.
http://hdl.handle.net/10993/9066
10.1103/PhysRevE.86.051127
http://link.aps.org/doi/10.1103/PhysRevE.86.051127

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